12573600 has 216 divisors, whose sum is σ = 45747072. Its totient is φ = 2995200.

The previous prime is 12573541. The next prime is 12573601. The reversal of 12573600 is 637521.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12573601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 405585 + ... + 405615.

It is an arithmetic number, because the mean of its divisors is an integer number (211792).

Almost surely, 2^12573600 is an apocalyptic number.

12573600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22873536).

12573600 is an abundant number, since it is smaller than the sum of its proper divisors (33173472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12573600 is a wasteful number, since it uses less digits than its factorization.

12573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 12573600 is about 3545.9272412163. The cubic root of 12573600 is about 232.5340451937.

The spelling of 12573600 in words is "twelve million, five hundred seventy-three thousand, six hundred".